Nature Publishing Group, publisher of Nature, and other science journals and reference works
Nature
my account e-alerts subscribe register
   
Saturday 11 July 2009
Journal Home
Current Issue
AOP
Archive
Download PDF
References
Export citation
Export references
Send to a friend
More articles like this

Article
Nature 344, 305 - 309 (22 March 1990); doi:10.1038/344305a0

Collision-induced two-ion chaos

R. G. Brewer*, J. Hoffnagle*, R. G. DeVoe*, L. Reyna & W. Henshaw

* IBM Research Division, Almaden Research Center, 650 Harry Road, San Jose, California 95120-6099, USA
IBM Research Division, T. J. Watson Research Center, Yorktown Heights, New York 10598, USA

Two ions confined to a radio-frequency trap and cooled by radiation pressure exhibit deterministic chaos. Theoretical analysis of the two-ion dynamics reveals that the route to chaos is due solely to ion-ion collisions. During a collision, the nonlinear Coulomb interaction introduces a transient instability, which gives way to stable single-particle-like motion as the ions move apart. The chaotic dynamics are characterized by a strange attractor that resembles a spiral galaxy.

------------------

References
1. Poincaré, H. Les methodes nouvelles de la mechanique celeste (Gauthier-Villars, Paris, 1892).
2. Delande, D. & Gay, J. C. in Atomic Physics Vol. 11 (eds Haroche, S., Gay, J. C. & Grynberg, G.) 281−297 (World Scientific, New Jersey, 1989). | ChemPort |
3. Hoffnagle, J., DeVoe, R. G., Reyna, L. & Brewer, R. G. Phys. Rev. Lett. 61, 255−258 (1988). | Article | PubMed | ChemPort |
4. Wuerker, R. F., Shelton, H. & Langmuir, R. V. J. appl. Phys. 30, 342−349 (1959). | Article |
5. Blumel, R. et al. Nature 334, 309−313 (1988). | Article | ISI | ChemPort |
6. Berge, P., Pomeau, Y. & Vidal, C. Order Within Chaos 279 (Wiley, New York, 1984).
7. Lichtenberg, A. J. & Lieberman, M. A. Regular and Stochastic Motion 262 (Springer-Verlag, New York, 1983).
8. Dehmelt, H. G. Adv. atom. mol. Phys. 3, 53−72 (1967). | ChemPort |
9. Kapitza, P. L. Zh. Eksperim. i Teor. Fiz. 21, 588 (1951).
10. Landau, L. D. & Lifshitz, E. M. Mechanics 93 (Pergamon, New York, 1978).
11. Abramowitz, M. & Stegun, I. A. Handbook of Mathematical Functions 724 (National Bureau of Standards, Washington, DC, 1968).
12. Blumel, R., Kappler, C., Quint, W. & Walther, H. Phys. Rev. A 40, 808−823 (1989). | PubMed |
13. Shimada, I. & Nagashima, T. Prog. theor. Phys. 61, 1605−1616 (1979).
14. Farmer, J. D., Ott, E. & Yorke, J. A. Physica D 7, 153−180 (1983).
15. Yorke, J. A. Dynamics, A Program for IBM PC Clones (University of Maryland, College Park, 1988).



© 1990 Nature Publishing Group
Privacy Policy